Generalized class invariants with ’Thetanullwerte’
نویسنده
چکیده
We introduce generalized class invariants as quotients of Thetanullwerte, which realize the computation of class polynomials more efficiently than as quotients of values of the Dedekind η−function. Furthermore, we prove that these invariants are units in the corresponding class field as most of their classical counterparts. keywords: class polynomials, theta functions, complex multiplication
منابع مشابه
On the Computation of Class Polynomials with "Thetanullwerte" and Its Applications to the Unit Group Computation
The classical class invariants of Weber are introduced as quotients of Thetanullwerte, enabling the computation of these invariants more efficiently than as quotients of values of the Dedekind η-function. We show also how to compute the unit group of suitable ring class fields by means of proving the fact that most of the invariants introduced by Weber are actually units in the corresponding ri...
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